Characterizations of Besov and Triebel–Lizorkin spaces via averages on balls

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00447568" target="_blank" >RIV/67985840:_____/16:00447568 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.jmaa.2015.08.054" target="_blank" >http://dx.doi.org/10.1016/j.jmaa.2015.08.054</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2015.08.054" target="_blank" >10.1016/j.jmaa.2015.08.054</a>

Result language
angličtina
Original language name
Characterizations of Besov and Triebel–Lizorkin spaces via averages on balls
Original language description
Let ... and .... In this article, the authors prove that the sequence ... consisting of the differences between f and the ball average ... characterizes the Besov space View the MathML source ... and the Triebel–Lizorkin space View the MathML source ... with ... when the smoothness order .... More precisely, it is proved that ... plays the same role as the approximation to the identity ... appearing in the definitions of View the MathML source ... and View the MathML source .... The corresponding results for inhomogeneous Besov and Triebel–Lizorkin spaces are also obtained. These results, for the first time, give a way to introduce Besov and Triebel–Lizorkin spaces with any smoothness order in ... on spaces of homogeneous type, where ....
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA13-14743S" target="_blank" >GA13-14743S: Function spaces, weighted inequalities and interpolation II</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)